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Finding the Fourth Proportional to 1,948.85, 2,923.04 and 543.37

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Solution

The fourth proportional to 1,948.85, 2,923.04 and 543.37 is: 814.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.85 : 2,923.04 = 543.37 : x
  2. Step 2: Convert to fraction form
    1,948.85/2,923.04 = 543.37/x
  3. Step 3: Cross multiply
    1,948.85x = 2,923.04 × 543.37
  4. Step 4: Simplify right side
    1,948.85x = 1,588,292.24
  5. Step 5: Solve for x
    x = 1,588,292.24/1,948.85
  6. Step 6: Final answer
    x = 814.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.